Question

Розв'яжіть систему рівнянь методом додавання {8x-3y=41 {7x+5y=13 (Фоткой не отвечать) Посмотреть ответы tetamotatetyamotya tetamotatetyamotya Ответ: .............. Пошаговое объяснение: ............ я очень рада,что смогла вам помочь♥️ tetamotatetyamotya, ты гений советую вам приобрести копилку,vanya0713 Сказали же фоткой не отвечать iramazurk iramazurk Ответ: (4; -3) Пошаговое объяснение: {8х - 3у = 41 | * 7 {7х + 5у = 13 | * -8 {56х - 21у = 287 {-56х - 40у = -104 {-61у = 183 {56х - 21у = 287 1) -61у = 183 у = 183 : (-61) у = -3 2) 56х - 21у = 287 56х - 21 * (-3) = 287 56х + 63 = 287 56х = 287 - 63 56х = 224 х = 224 : 56 х = 4 Новые вопросы в Математика Cuál es el número de lados de un polígono regular de medida en grados de su ángulo externo es 120 Что больше 4мин48сек или 150сек Що бiЛьве 4хв-48с чи 150с. Дойти до финиша, нужно посчитать и получить ответ, далее если ответ верный вы переходите на другой пример. И так пока не дойдёте до финиша. Еластичний однорідний шнур довжини lпід дією сили Fподовжується на величину klF, де k=const. Знайти подовження Sцього шнура під дією власної його ваги … Q, якщо він підвішений за один кінець. Предыдущий Следующий Вместе мы знаем больше Этот сайт использует cookies Политика Cookies . Вы можете указать условия хранения и доступ к cookies в своем браузере. 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Answer 1

Давайте розв'яжемо дану систему рівнянь методом додавання.

Маємо систему:

1. 8x - 3y = 41
2. 7x + 5y = 13

Спочатку помножимо друге рівняння на 3, щоб зрівняти коефіцієнти при y:

1. 8x - 3y = 41 2') 21x + 15y = 39

Тепер додамо отримані рівняння:

(8x - 3y) + (21x + 15y) = 41 + 39

Отримаємо:

29x + 12y = 80 (*)

Тепер домножимо перше рівняння на 5:

5(8x - 3y) = 5(41) 40x - 15y = 205

Тепер додамо отримане рівняння до (*):

(40x - 15y) + (29x + 12y) = 205 + 80

Отримаємо:

69x - 3y = 285 (**)

З (*) і (**) отримаємо наступну систему:

29x + 12y = 80 69x - 3y = 285

Знайдемо значення y, помноживши перше рівняння на 3, а друге на 12 і складемо їх:

3(29x + 12y) + 12(69x - 3y) = 3(80) + 12(285)

87x + 36y + 828x - 36y = 240 + 3420

915x = 3660

x = 4

Підставимо x = 4 у перше рівняння:

8(4) - 3y = 41 32 - 3y = 41 -3y = 41 - 32 -3y = 9 y = -3

Отже, розв'язок системи рівнянь: x = 4, y = -3.